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Finding the Fourth Proportional to 511.87, 768.09 and 280.48

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Solution

The fourth proportional to 511.87, 768.09 and 280.48 is: 420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.87 : 768.09 = 280.48 : x
  2. Step 2: Convert to fraction form
    511.87/768.09 = 280.48/x
  3. Step 3: Cross multiply
    511.87x = 768.09 × 280.48
  4. Step 4: Simplify right side
    511.87x = 215,433.88
  5. Step 5: Solve for x
    x = 215,433.88/511.87
  6. Step 6: Final answer
    x = 420.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.